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Finding the Fourth Proportional to 7,737.53, 11,606.27 and 2,807.15

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Solution

The fourth proportional to 7,737.53, 11,606.27 and 2,807.15 is: 4,210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.53 : 11,606.27 = 2,807.15 : x
  2. Step 2: Convert to fraction form
    7,737.53/11,606.27 = 2,807.15/x
  3. Step 3: Cross multiply
    7,737.53x = 11,606.27 × 2,807.15
  4. Step 4: Simplify right side
    7,737.53x = 32,580,540.83
  5. Step 5: Solve for x
    x = 32,580,540.83/7,737.53
  6. Step 6: Final answer
    x = 4,210.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.